What is (5x^2-2x+7)-(-2x^2+6x+3) ?

The solution to (5x^2-2x+7)-(-2x^2+6x+3) is 7x^2-8x+4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (5x^2-2x+7)-(-2x^2+6x+3)

simplify

(5 x^{2} - 2 x + 7) - (- 2 x^{2} + 6 x + 3)

7 x^{2} - 8 x + 4

Solution steps

(5 x^{2} - 2 x + 7) - (- 2 x^{2} + 6 x + 3)

Apply rule:

(a) = a

(5 x^{2} - 2 x + 7) = 5 x^{2} - 2 x + 7

= 5 x^{2} - 2 x + 7 - (- 2 x^{2} + 6 x + 3)

Apply the distributive law:

- (- a + b) = a - b

- (- 2 x^{2} + 6 x + 3) = 2 x^{2} - 6 x - 3

= 5 x^{2} - 2 x + 7 + 2 x^{2} - 6 x - 3

Group like terms

= 5 x^{2} + 2 x^{2} - 2 x - 6 x + 7 - 3

Add similar elements:

5 x^{2} + 2 x^{2} = 7 x^{2}

= 7 x^{2} - 2 x - 6 x + 7 - 3

Add similar elements:

- 2 x - 6 x = - 8 x

= 7 x^{2} - 8 x + 7 - 3

Subtract the numbers:

7 - 3 = 4

= 7 x^{2} - 8 x + 4

\frac{1}{5} + \frac{1}{15}

32 x^{4}

(x + a)^{2} + 5 (x + a) + 4

(3 x - 1) (2 x - 1)

What is (5x^2-2x+7)-(-2x^2+6x+3) ?
The solution to (5x^2-2x+7)-(-2x^2+6x+3) is 7x^2-8x+4